Results 61 to 70 of about 184 (111)
Entropy-like functionals: conceptual background and some results [PDF]
, 1992 summary:We describe a conceptual approach which provides a unified view of various entropy-like functionals on the class of semimetric spaces, endowed with a bounded measure.
Katětov, Miroslav
core
, 1992 A first countable topological group is metrizable. Certain nonfirst countable topological groups are “generalized metric spaces”. To elucidate the latter, we briefly list some theorems and examples.
Heath, R.W.
core +1 more source
Six mathematical gems from the history of distance geometry
, 2017 This is a partial account of the fascinating history of distance geometry. We make no claim to completeness, but we do promise a dazzling display of beautiful, elementary mathematics.
Liberti, Leo, Lavor, Carlile
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A note on a Category in Point-free Geometry
, 2018 The notion of interval semimetric space leads to introduce a geometry whose primitive notions are regions and interval-valued maps, following the A.N. Whitehead's ideas.
MIRANDA, Annamaria
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Inference of a universal social scale and segregation measures using social connectivity kernels. [PDF]
J R Soc Interface, 2020 Hoffmann T, Jones NS.
europepmc +1 more source
On Spaces Extremal for the Gomory-Hu Inequality
, 2015 Let (X, d) be a finite ultrametric space. In 1961 E.C. Gomory and T.C. Hu proved the inequality vertical bar Sp(X)vertical bar <= vertical bar X vertical bar where Sp(X) = {d(x, y): x, y is an element of X}.
Dovgoshey, O. +2 more
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Emergent linguistic structure in artificial neural networks trained by self-supervision. [PDF]
Proc Natl Acad Sci U S A, 2020 Manning CD +4 more
europepmc +1 more source
On Spaces with Quasi-Regular-$G_{delta}$-Diagonals
, 2000 This paper studies spaces with quasi--regular--$G_{delta}$--diagonal. It is shown that if $X$ is a normal space, then the following are equivalent: begin{enumerate} item $X$ admits a development satisfying the $3$--link property.
Mohamad, A.M.
core
A comparison of covering properties in T[lowered 3] and T[lowered 4] spaces
, 1968 Weak and strong cover compactness are defined and compared with five other well-known covering properties in developable, semimetric, first countable, locally compact and general T[lowered 3] and T[lowered 4] spaces. In addition, it is shown that weak or
Briggs, Robert Cooke
core